Matrix representation of endomorphisms of primary groups of small ranks | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 74. DOI: 10.17223/19988621/74/4

Matrix representation of endomorphisms of primary groups of small ranks

For endomorphism rings of finite primary Abelian groups of rank 2 and 3, generalized matrix rings isomorphic to them are constructed. In each of these matrix rings, necessary and sufficient conditions for the invertibility of matrices are found, as well as formulas for constructing the inverse matrix.

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Keywords

primary group, endomorphism ring, generalized matrix ring, inverse matrix

Authors

Name	Organization	E-mail
Stepanova Aleksandra Yu.	Tomsk State University	stepanova.alexa@mail.ru
Timoshenko Egor A.	Tomsk State University	tea471@mail.tsu.ru

Всего: 2

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